Young’s modulus of 2D cellular structures under periodic boundary conditions and subject to structural effects

Two-dimensional random cellular structures are generated by coupling Voronoi and Monte Carlo algorithms in order to study the effect of cell irregularities on the elasticity parameters of biopolymer cellular solids. Firstly, the Voronoi technique provides the tessellation of the 2D space without pro...

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Bibliographic Details
Published inComputational materials science Vol. 44; no. 2; pp. 552 - 565
Main Author Guessasma, S.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.12.2008
Elsevier
Subjects
Biopolymer cellular solids
Chemical and Process Engineering
Condensed matter: structure, mechanical and thermal properties
Elasticity parameters
Elasticity, elastic constants
Engineering Sciences
Exact sciences and technology
Food engineering
Life Sciences
Mechanical and acoustical properties of condensed matter
Mechanical properties of solids
Monte Carlo/Voronoi algorithm
Physics
Relative density
Structural effects
Structural effects
Biopolymer cellular solids
Elasticity parameters
Relative density
Monte Carlo/Voronoi algorithm
Voronoï diagram
Digital simulation
Elasticity
Boundary conditions
Young modulus
Finite element method
Monte Carlo methods
Property structure relationship
Curvature
Cellular structure
RELATIVE DENSITY
STRUCTURAL EFFECTS
MONTE CARLO/VORONOI ALGORITHM
MOSAIQUE VORONOI
BIOPOLYMER CELLULAR SOLIDS
ELASTICITY PARAMETERS
SOLIDE CELLULAIRE
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Summary:Two-dimensional random cellular structures are generated by coupling Voronoi and Monte Carlo algorithms in order to study the effect of cell irregularities on the elasticity parameters of biopolymer cellular solids. Firstly, the Voronoi technique provides the tessellation of the 2D space without producing discontinuities. Secondly, Monte Carlo strategy allows cell curvature to be generated. The Voronoi/Monte Carlo technique is able to represent various structural effects: cell density, elongation, local concentration as well as cell gradient and presence of defects. These effects are discussed in this paper based on the theory of cellular solids and finite element calculation. These numerical results should provide quantitatively correlations between the studied structural effects and effective properties of several natural biopolymer systems.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0927-0256
1879-0801
DOI:10.1016/j.commatsci.2008.04.019